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Book/movie review
22/08/2022
Work has to be shown my teacher said that I made some mistakes please find them and fix
Problem
Jamil always throws loose change into a pencil holder on his desk and
takes it out every two weeks. This time it is all nickels and dimes. There
are 2 times as many dimes as nickels, and the value of the dimes is $1.65
more than the value of the nickels. How many nickels and dimes does
Jamil have?
My work
Let the number of dimes Jamil throws into the pencil holder be Y
Let the number of nickel Jamil throws into the pencil holder be X
Since there are 2 times as many dimes as nickel’s then we would have;
Y=2X
A dimes value is $0.05
A nickel’s value is $ 0.10
Since we have twice as many dimes as nickles then this would imply;
The sum of availables dimes and nickle is equal to $1.65
Converting Y=2X to a simple equation we would have;
Y- 2X=0 ……………………………..i
0.10X-0.05Y=1.65 …………….ii multiplying equation ii by 100 to get whole numbers then it will be;
Y- 2X=0 ………………………………i
10X+5Y = 165 ………………………iii
The least common multiple of 2 and 5 is 10. Multiply the first equation by 5 and the second equation by 2, by doing so that will have the y variable eliminated when the second equation is subtracted from the first equation.
(5)Y- (5)2X=(5)0 which solves to 5Y-10X=0
(2)10X+(2)5Y = (2)165 which solves to 20X+10Y=230
Subtract the second equation from the first and solve for x.
5Y-10X=0
20Y-10X=330
-15x= –330divide by sides by 12 to solve for x
-15 -15
Y = 22
From the equation we can be able to conclude that jamil has 22 dimes. We can go ahead and replace the number of dimes into 1 of the equations so that we can solve for the number of nickles. Taking the second equation.
20X+10Y=230 since we have computed for y=22
20(22)-10X=330then subtract 29.92 from both sides of the equation
440 – 10X=330
10X= 440-330
10X=110 dividing both sides by 10 we get;
10 10
X= 11 therefore jamil had 11 nickles
This would imply that jamil throwings in the pencil holder was 11 nickles and 22 dimes
The writer is very fast, professional and responded to the review request fast also. Thank you.
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